U3 Math 1: Features of Functions

Provide the definition of the vocabulary word: x-intercept.

• The x-intercept is the point where a graph crosses the x-axis.

• The x-intercept is the point where a graph crosses the y-axis.

• The x-intercept is the highest point on the graph.

• The x-intercept is the lowest point on the graph.

Provide an example or visual representation of the vocabulary word: x-intercept.

• A graph crossing the x-axis at (3,0) is an example of an x-intercept.

• A graph crossing the y-axis at (0,3) is an example of an x-intercept.

• A graph that never touches the x-axis is an example of an x-intercept.

• A graph crossing the origin (0,0) is not an example of an x-intercept.

Provide the definition of the vocabulary word: y-intercept.

• The y-intercept is the point where a graph crosses the y-axis.

• The y-intercept is the highest point on a graph.

• The y-intercept is the point where a graph crosses the x-axis.

• The y-intercept is the slope of the line.

Provide an example or visual representation of the vocabulary word: y-intercept.

• A graph crossing the y-axis at (0,2) is an example of a y-intercept.

• A graph crossing the x-axis at (2,0) is an example of a y-intercept.

• A graph passing through the origin (0,0) is always a y-intercept.

• A graph that never touches the y-axis has a y-intercept.

Provide the definition of the vocabulary word: maximum (in the context of functions).

• The maximum is the highest point on the graph of a function.

• The maximum is the lowest point on the graph of a function.

• The maximum is the point where the function crosses the x-axis.

• The maximum is the average value of the function.

Provide an example or visual representation of the vocabulary word: maximum.

• A parabola opening downward with its vertex at the top is an example of a maximum.

• A straight line with a positive slope.

• A parabola opening upward with its vertex at the bottom.

• A horizontal line with no peaks or valleys.

Provide the definition of the vocabulary word: minimum (in the context of functions).

• The minimum is the lowest point on the graph of a function.

• The minimum is the highest point on the graph of a function.

• The minimum is the average value of the function.

• The minimum is the point where the function crosses the y-axis.

Provide an example or visual representation of the vocabulary word: minimum.

• A parabola opening upward with its vertex at the bottom is an example of a minimum.

• A straight line with a positive slope is an example of a minimum.

• A circle with its center at the origin is an example of a minimum.

• A parabola opening downward with its vertex at the top is an example of a minimum.

Provide the definition or explanation for the term: Interval of increase.

• The interval of increase is the set of all input values for which the function's output values are increasing.

• The interval of increase is the set of all input values for which the function's output values are decreasing.

• The interval of increase is the set of all output values for which the function's input values are increasing.

• The interval of increase is the set of all input values where the function remains constant.

Provide the definition or explanation for the term: Interval of Decrease.

• The interval of decrease is the set of all input values for which the function's output values are decreasing.

• The interval of decrease is the set of all input values for which the function's output values are increasing.

• The interval of decrease is the set of all output values for which the function's input values are decreasing.

• The interval of decrease is the set of all input values for which the function's output values remain constant.